"Analysis and Control of Infinite-Dimensional Systems - A Geometric and Functional-Analytic Approach"
, Serie Modellierung und Regelung komplexer dynamischer Systeme, Shaker Verlag, Shaker Verlag GmbH, P.O. Box 101818, 52018 Aachen, 4-2009, ISBN: 978-3-8322-7240-1
Analysis and Control of Infinite-Dimensional Systems - A Geometric and Functional-Analytic Approach
Sprache des Titels:
The interactions with physical dynamic systems as resulting from control laws are mainly intended to assign a certain desired behavior to the closed-loop system, where it is reasonable, at the stage of the controller design, to be aware of the (physical) restrictions implied by the plant. In this context the subject of the present work is constituted by a system- and control-theoretical analysis
for the class of (coupled) lumped- and distributed-parameter systems, where the evolution in time is allowed to be governed by both (nonlinear) ordinary and/or
partial differential equations. By means of the combined application of differential geometrical and functional analytical methods a formal approach is presented
to investigate the considered class of dynamic systems. Although the interrogations as well as the approach for solving the discussed problems are equivalent in
their nature to those of finite-dimensional systems, differences in their handling will be mostly inevitable if infinite-dimensional are treated, which lead to the
requirement of a much more elaborate and adequate mathematical machinery.
Sprache der Kurzfassung:
Shaker Verlag GmbH, P.O. Box 101818, 52018 Aachen
Modellierung und Regelung komplexer dynamischer Systeme